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86078278881 = 347246572
BaseRepresentation
bin101000000101010101…
…0100100110011100001
322020011221110122010000
41100022222210303201
52402242014411011
6103313244130213
76135046204200
oct1201252446341
9266157418100
1086078278881
1133561a42a61
1214823536969
13816a4aa73a
144248123237
15238be1a356
hex140aaa4ce1

86078278881 has 45 divisors (see below), whose sum is σ = 149611841379. Its totient is φ = 49177025856.

The previous prime is 86078278879. The next prime is 86078278901. The reversal of 86078278881 is 18887287068.

The square root of 86078278881 is 293391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10352045025 + 75726233856 = 101745^2 + 275184^2 .

It is not a de Polignac number, because 86078278881 - 21 = 86078278879 is a prime.

It is a super-2 number, since 2×860782788812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86078278831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18481305 + ... + 18485961.

Almost surely, 286078278881 is an apocalyptic number.

86078278881 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86078278881 is the 293391-st square number.

86078278881 is the 146696-th centered octagonal number.

It is an amenable number.

86078278881 is a deficient number, since it is larger than the sum of its proper divisors (63533562498).

86078278881 is an frugal number, since it uses more digits than its factorization.

86078278881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 63.

The spelling of 86078278881 in words is "eighty-six billion, seventy-eight million, two hundred seventy-eight thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 4657 13971 32599 41913 97797 125739 228193 293391 377217 684579 880173 2053737 2640519 6161211 18483633 21687649 65062947 151813543 195188841 455440629 585566523 1062694801 1366321887 1756699569 3188084403 4098965661 9564253209 12296896983 28692759627 86078278881